Fixed point results for generalized $(\alpha,\psi,\varphi)$-Geraghty contraction in b-metric spaces

نویسندگان
Abduletif, Mustefa ID 1
Koyas, Kidane ID 2
Teweldemedhin, Solomon Gebregiorgis ID 3

1 Department of Mathematics, Jimma University

2 Department of Mathematics, Jimma University

3 Department of Mathematics, Jimma University

doi
10.22075/ijnaa.2022.25176.2941
چکیده

In this paper, first, we introduce $ (\alpha,\psi,\varphi) $-Geraghty and generalized $ (\alpha,\psi,\varphi) $-Geraghty contraction mappings in b-metric spaces and then we prove the existence and uniqueness of fixed point after exploring all the conditions which guarantee the existence of fixed point. Our results extend and generalize related fixed point results in the existing literature. We also provide examples in support of our main findings.

کلیدواژه‌ها
$\alpha$-admissible mapping, generalized $(\alpha, \ psi, \varphi)$-Geraghty Contraction, b-metric space